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Finding the Fourth Proportional to 225,842.34, 338,468.22 and 92,566.56

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Solution

The fourth proportional to 225,842.34, 338,468.22 and 92,566.56 is: 138,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,842.34 : 338,468.22 = 92,566.56 : x
  2. Step 2: Convert to fraction form
    225,842.34/338,468.22 = 92,566.56/x
  3. Step 3: Cross multiply
    225,842.34x = 338,468.22 × 92,566.56
  4. Step 4: Simplify right side
    225,842.34x = 31,330,838,794.72
  5. Step 5: Solve for x
    x = 31,330,838,794.72/225,842.34
  6. Step 6: Final answer
    x = 138,728.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.